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Home » AGRS Research Seminar Series: What have PDE to do with Non-Local Dirichlet Forms in Metric Setting, and how to Non-Linearize Them?

Seminar

AGRS Research Seminar Series: What have PDE to do with Non-Local Dirichlet Forms in Metric Setting, and how to Non-Linearize Them? April 20, 2022 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Nageswari Shanmugalingam (University of Cincinnati)
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Video

What Have PDE To Do With Non-Local Dirichlet Forms In Metric Setting, And How To Non-Linearize Them?

Abstract/Media

To participate in this seminar, please register HERE.

In this talk I will give an introduction to a connection between PDE (associated with a strongly local phenomenon) and non-local phenomenon such as jump processes, extending the work of Caffarelli and Silvestre to the metric setting. This leads to constructions of fractional powers of Laplacians, and their non-linear counterparts, fractional p-Laplacians. The talk is based on joint work with Luca Capogna, Riikka Korte, Josh Kline, and Marie Snipes.

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What Have PDE To Do With Non-Local Dirichlet Forms In Metric Setting, And How To Non-Linearize Them?